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Analytical analysis of forced vibration of the hard-coating cylindrical shell with material nonlinearity and elastic constraint

机译：具有材料非线性和弹性约束的硬涂层圆柱壳强迫振动的解析分析

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摘要

In this paper, the nonlinear vibration characteristics of the hard-coating cylindrical shell with the base excitation and un-classical elastic constraint are investigated based on the Rayleigh-Ritz method. A continual variable stiffness elastic constraint is presented to introduce the actual uneven distribution of connection stiffness into the analytical vibration analysis. The nonlinear governing equations of motion are formulated by the Love's first approximation theory and von Karman-type nonlinear strain-displacement relationship. The admissible displacement functions are constructed by the Gram-Schmidt orthogonal polynomials. To effectively consider the effects of the strain dependences of storage modulus and loss factor of hard coating on the vibration characteristics of the shell, a modified domain decomposition method is employed to determine the equivalent strain of hard coating under the action of base excitation. By extending the Newton-Raphson iterative scheme, a unified iterative solution method is developed for solving the nonlinear resonant frequencies and responses of the hardcoating cylindrical shell. The numerical and experimental examples of the cylindrical shell coated with NiCoCrAlY+YSZ are performed to validate the accuracy and reliability of the developed analytical model. The mechanism of soft nonlinearity displayed in the amplitude-frequency curves of the hard-coating cylindrical shell is discussed as well.
机译：本文基于Rayleigh-Ritz方法研究了具有基本激励和非经典弹性约束的硬涂层圆柱壳的非线性振动特性。提出了连续可变刚度弹性约束，以将连接刚度的实际不均匀分布引入到分析振动分析中。运动的非线性控制方程由Love的一阶近似理论和von Karman型非线性应变-位移关系公式表示。允许的位移函数由Gram-Schmidt正交多项式构造。为了有效地考虑储能模量和硬涂层损耗因子的应变相关性对壳体振动特性的影响，采用改进的区域分解方法确定了在碱激发作用下硬涂层的等效应变。通过扩展牛顿-拉夫森迭代方案，开发了一种统一的迭代求解方法，用于求解硬涂层圆柱壳的非线性谐振频率和响应。通过数值和实验实例验证了涂覆NiCoCrAlY + YSZ的圆柱壳的有效性和可靠性。还讨论了在硬涂层圆柱壳的振幅-频率曲线中显示的软非线性机制。

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  • 来源
    《Composite Structures》 |2018年第3期|281-293|共13页
  • 作者

    Zhang Yue; Sun Wei; Yang Jian; Han Qingkai;

  • 作者单位

    Northeastern Univ, Sch Mech Engn & Automat, Shenyang 110819, Liaoning, Peoples R China;

    Northeastern Univ, Sch Mech Engn & Automat, Shenyang 110819, Liaoning, Peoples R China;

    Univ Sci & Technol Liaoning, Sch Mech Engn & Automat, Anshan 114051, Peoples R China;

    Dalian Univ Technol, Sch Mech Engn, Dalian 116024, Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Base excitation; Hard coating; Cylindrical shell; Nonlinear vibration; Analytical analysis;

    机译：基底激励;硬涂层;圆柱壳;非线性振动;分析;

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